CP-odd interaction of quarks and SU(2) gauge bosons with scalar field background in Kobayashi-Maskawa model

Abstract

CP-violating interaction of quarks and W-bosons with the scalar field background is studied in the Kobayashi-Maskawa with with Standard Model content of flavors and with additional heavy generation of fermions. The corresponding two-loop induced formfactors are calculated at zero temperature. The results are generalized at large momentum transfers to take into account the CP-violating effects in the Higgs boson decay. The inclusion of this interaction into the scheme of adiabatic baryogenesis at the temperature of electroweak phase transition suffers from the uncertainties come from the poor knowledge of the vacuum condensate value triggering baryon number violating processes. It is shown, however, that even in the most favorable assumptions the Standard Model with four generations cannot produce enough C and CP violation for the explanation of the observable excess of baryons in the Universe.